Elementary superalgebras. (Q2859254)
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scientific article; zbMATH DE number 6223386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elementary superalgebras. |
scientific article; zbMATH DE number 6223386 |
Statements
7 November 2013
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elementary superalgebras
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Hochschild cohomology
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Hochschild extensions
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Coxeter transformations
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Elementary superalgebras. (English)
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The work deals with some properties of a special class of finite dimensional superalgebras, the elementary superalgebras [see \textit{Y. Han} and \textit{D. Zhao}, J. Algebra 321, No. 12, 3668-3680 (2009; Zbl 1223.16018)]. The authors prove that a superalgebra is elementary if and only if its Hochschild extension is elementary. For these algebras they relate the trace of the Coxeter matrix with the dimension of the Hochschild (co)homology. The used techniques are standard.
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